Mathematics
19 Online
OpenStudy (anonymous):
Find m angle T
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OpenStudy (anonymous):
OpenStudy (misty1212):
HI!! (again)
identical to the last one, only the numbers are different
OpenStudy (anonymous):
yea i know but i have a problem with these so can you just write it out for me and i ccan solve it myself ?
OpenStudy (misty1212):
we can use the same wolfram link i sent the last time, just change the numbers in it
OpenStudy (anonymous):
so would it be 22^2 + 12^2 + 19^2
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OpenStudy (misty1212):
but you might have to take a test or quiz on this in class so maybe we do it slowly
will you have to do that?
OpenStudy (misty1212):
no hold on
OpenStudy (misty1212):
the numerator is
\[\huge b^2+c^2\color{red}-a^2\]
OpenStudy (misty1212):
so you have to properly identify \(a\)
it is the side opposite the angle
OpenStudy (misty1212):
try again
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OpenStudy (anonymous):
wait so it would be: arccos((22^2+12^2-19^2)/(22*12*19))
OpenStudy (misty1212):
not quite
OpenStudy (misty1212):
what is the side OPPOSITE angle T
OpenStudy (anonymous):
12?
OpenStudy (misty1212):
yes
so your numerator was wrong
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OpenStudy (misty1212):
also the denominator is \(2bc\) not \(abc\)
OpenStudy (misty1212):
try again, i bet you get it this time
OpenStudy (anonymous):
so arccos((22^2+12^2-19^2)/(2*12*19)) ?
OpenStudy (misty1212):
hmm still confused about the opposite side?
OpenStudy (misty1212):
it is 12, not 19
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OpenStudy (anonymous):
arccos((22^2+19^2-12^2)/(2*12*19)) ok i think i got it?
OpenStudy (misty1212):
almost !
OpenStudy (misty1212):
the denominator does not have the side opposite the angle in it, it is the other two sides, the adjacent sides
OpenStudy (misty1212):
so replace that 12 in the denominator by the 22, and you will have it
OpenStudy (misty1212):
i am not trying to torture you, just trying to make sure you can get it on your own
i will write the answer if you want me to
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OpenStudy (anonymous):
arccos((22^2+19^2-12^2)/(2*22*19))
OpenStudy (misty1212):
YES!!
OpenStudy (anonymous):
ok so the answer would be 33.02 degrees ?
OpenStudy (misty1212):
let me check
OpenStudy (misty1212):
yuup
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OpenStudy (anonymous):
ok thanks again ur alot of help!
OpenStudy (misty1212):
yw \[\color\magenta\heartsuit\]
OpenStudy (misty1212):
if you have another one and want me to check the answer for you i can